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Spacecraft Formation Flying by Louis Breger, Jonathan How, Pini Gurfil, Srinivas Rao Vadali, Kyle Alfriend

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Chapter 5

Linear Equations of Relative Motion

Publisher Summary

This chapter presents a variety of linear differential equations for modeling relative motion under the two-body assumptions. The system of equations for the description of relative motion is classified according to the coordinate system utilized—Cartesian or curvilinear. There are also issues of the choices of the independent variable—time or an angle variable and the space in which the linearization is carried out. The focus in this chapter is on the physical coordinate description of relative motion. This chapter begins with a discussion of the derivation of the linearized equations of relative motion with respect to a circular reference orbit, also known as the Clohessey–Wiltshire ...

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